10221132012 has 192 divisors, whose sum is σ = 31687649280. Its totient is φ = 2489389056.

The previous prime is 10221131993. The next prime is 10221132017. The reversal of 10221132012 is 21023112201.

It is a junction number, because it is equal to n+sod(n) for n = 10221131982 and 10221132000.

It is not an unprimeable number, because it can be changed into a prime (10221132017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721348 + ... + 735380.

It is an arithmetic number, because the mean of its divisors is an integer number (165039840).

Almost surely, 2^10221132012 is an apocalyptic number.

10221132012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843824640).

10221132012 is an abundant number, since it is smaller than the sum of its proper divisors (21466517268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221132012 is a wasteful number, since it uses less digits than its factorization.

10221132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10221132012 its reverse (21023112201), we get a palindrome (31244244213).

The spelling of 10221132012 in words is "ten billion, two hundred twenty-one million, one hundred thirty-two thousand, twelve".